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378537005 = 5721121132
BaseRepresentation
bin10110100100000…
…000010000101101
3222101021200011002
4112210000100231
51233401141010
6101321210045
712244340300
oct2644002055
9871250132
10378537005
11184746500
12a6930925
13605682c2
14383b8b37
15233741a5
hex1690042d

378537005 has 54 divisors (see below), whose sum is σ = 585996138. Its totient is φ = 233882880.

The previous prime is 378536999. The next prime is 378537017. The reversal of 378537005 is 500735873.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 39866596 + 338670409 = 6314^2 + 18403^2 .

It is not a de Polignac number, because 378537005 - 24 = 378536989 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 378537005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3349829 + ... + 3349941.

Almost surely, 2378537005 is an apocalyptic number.

378537005 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

378537005 is a deficient number, since it is larger than the sum of its proper divisors (207459133).

378537005 is a wasteful number, since it uses less digits than its factorization.

378537005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 38.

The square root of 378537005 is about 19456.0274722257. The cubic root of 378537005 is about 723.3849136532.

The spelling of 378537005 in words is "three hundred seventy-eight million, five hundred thirty-seven thousand, five".

Divisors: 1 5 7 11 35 49 55 77 113 121 245 385 539 565 605 791 847 1243 2695 3955 4235 5537 5929 6215 8701 12769 13673 27685 29645 43505 60907 63845 68365 89383 95711 140459 304535 446915 478555 625681 669977 702295 983213 1545049 3128405 3349885 4916065 6882491 7725245 10815343 34412455 54076715 75707401 378537005